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Finding the Fourth Proportional to 311,280.96, 432,467.76 and 307,548.48

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Solution

The fourth proportional to 311,280.96, 432,467.76 and 307,548.48 is: 427,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,280.96 : 432,467.76 = 307,548.48 : x
  2. Step 2: Convert to fraction form
    311,280.96/432,467.76 = 307,548.48/x
  3. Step 3: Cross multiply
    311,280.96x = 432,467.76 × 307,548.48
  4. Step 4: Simplify right side
    311,280.96x = 133,004,802,237.01
  5. Step 5: Solve for x
    x = 133,004,802,237.01/311,280.96
  6. Step 6: Final answer
    x = 427,282.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.